Pith Number

pith:53MVGXD7

pith:2011:53MVGXD7I3OHTFSG2ISQWUD4XP

not attested not anchored not stored refs pending

A unified approach to Stein characterizations

Christophe Ley, Yvik Swan

arxiv:1105.4925 v3 · 2011-05-25 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53MVGXD7I3OHTFSG2ISQWUD4XP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:07:17.727751Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed9535c7f46dc799646d2250b507cbbf54a8ec616a2baa4e231b791d27b355b

Aliases

arxiv: 1105.4925 · arxiv_version: 1105.4925v3 · doi: 10.48550/arxiv.1105.4925 · pith_short_12: 53MVGXD7I3OH · pith_short_16: 53MVGXD7I3OHTFSG · pith_short_8: 53MVGXD7

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/53MVGXD7I3OHTFSG2ISQWUD4XP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: eed9535c7f46dc799646d2250b507cbbf54a8ec616a2baa4e231b791d27b355b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6cc4cf57694ad24495bf492b030e21e0d14426faa931269d05c5f78b3c888189",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-05-25T03:44:58Z",
    "title_canon_sha256": "dfe995d14ab2a3124e6cc5eff565c62fde99b487d415627e3b9679802609438a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4925",
    "kind": "arxiv",
    "version": 3
  }
}